Find lim inf 84x 2π " 1. sup (*.)., (#²77). 2² where x = (-1) "+2cos n 3 n Find lim sup(x where y nln 1+ n ). yat(1 (-1²) 2n 1148
Find lim inf 84x 2π " 1. sup (*.)., (#²77). 2² where x = (-1) "+2cos n 3 n Find lim sup(x where y nln 1+ n ). yat(1 (-1²) 2n 1148
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please answer both parts of the question. Thanks
Transcribed Image Text:ay
(³₁). where y = nln 1+
L
11
Find lim inf
11x
Find lim sup
11-00
(-1)"
2n
2T
where x = (-1) "+2cos n-
3
71
, n ≥ 1.
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Step 1: Definition of subsequenial limit
VIEWStep 2: Check whether y(n) is bounded or not
VIEWStep 3: Determine the subsequenial limits of y(n)
VIEWStep 4: Determine lim inf y(n)
VIEWStep 5: Check whether x(n) is bounded or not
VIEWStep 6: Determine the subsequenial limits of x(n) and lim sup x(n)
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